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Finding the Fourth Proportional to 85.90, 128.96 and 45.34

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Solution

The fourth proportional to 85.90, 128.96 and 45.34 is: 68.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.90 : 128.96 = 45.34 : x
  2. Step 2: Convert to fraction form
    85.90/128.96 = 45.34/x
  3. Step 3: Cross multiply
    85.90x = 128.96 × 45.34
  4. Step 4: Simplify right side
    85.90x = 5,847.05
  5. Step 5: Solve for x
    x = 5,847.05/85.90
  6. Step 6: Final answer
    x = 68.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.